SOLUTION: The sum of the ages of the First year Math. teacher is 50 19 years ago from now.Ms. Santos' age will be twice the age of Ms. Valdez present age. How old are they now?

Question 12056: The sum of the ages of the First year Math. teacher is 50 19 years ago from now.Ms. Santos' age will be twice the age of Ms. Valdez present age. How old are they now?

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
We'll let S be Ms. Santos' present age and V be Ms. Valdez's present age.
At present:
1) S + V = 50 The sum of their ages is 50.
19 years from now:
2) S + 19 = 2V In 19 years, Ms. Santos will be twice Ms. Valdez present age.
Rewrite equation 1) as:
V = 50 - S Multiply both sides by 2 because you want to get 2V.
2V = 2(50 - S) = 100 - 2S Now substitute this for the 2V in equation 2).
2) S + 19 = 100 - 2S Solve this for S. Add 2S to both sides.
3S + 19 = 100 Subtract 19 from both sides.
3S = 81 Finally, divide both sides by 3.
S = 27
Ms. Santos' present age is 27 years
V = 50 - S
V = 50 - 27
v = 23
Ms. Valdez's present age is 23 years.

RELATED QUESTIONS
The sum of Greg's age and Sherri's age is 42. Greg's age 14 years from now will be twice... (answered by lwsshak3)

the sum of Greg's age and Sarah's age is 42. Greg's age 20 years from now will be twice... (answered by josgarithmetic)

The sum of Jane's age and Jim's age is 40 years. Jane's age 10 years from now will be 1... (answered by gsmani_iyer)

The sum of Finn's age and Ellen's age is 40 years. Finn's age 10 years from now will be 1 (answered by venugopalramana)

The sum of Carl's age and Ellen's age is 40 years. Carl's age 10 years from now will be 1 (answered by ankor@dixie-net.com)

The sum of Jane's age and Jim's age is 40. Jane's age 10 years from now will be 1 year... (answered by kiru_khandelwal)

The sum of Sonny's and Cely's ages is 81. Three years ago, Sonny's age is Cely's age... (answered by ankor@dixie-net.com)

The sum of the ages of ral and shein is 28. Ten years from now, ral age will be twice... (answered by mananth,greenestamps,josgarithmetic,ikleyn)